1.(多选)下列运算中正确的是( )
A.(ax2+bx+c)′=a(x2)′+b(x)′
B.(sin x-2x2)′=(sin x)′-2′(x2)′
C.′=
D.(cos x·sin x)′=(cos x)′sin x+cos x(sin x)′
解析:选AD A项中,(ax2+bx+c)′=a(x2)′+b(x)′,故正确;
B项中,(sin x-2x2)′=(sin x)′-2(x2)′,故错误;
C项中,′=,故错误;
D项中,(cos x·sin x)′=(cos x)′sin x+cos x(sin x)′,故正确.
2.函数f(x)=excos x的图象在点(0,f(0))处的切线的倾斜角为( )
A.0 B.
C.1 D.
解析:选B 对函数求导得f′(x)=ex(cos x-sin x),∴f′(0)=1,∴函数f(x)=excos x的图象在点(0,f(0))处的切线的倾斜角为.